Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
105056h |
Isogeny class |
Conductor |
105056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
3531352384 = 26 · 77 · 67 |
Discriminant |
Eigenvalues |
2+ 3 1 7- -2 -5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-637,-5488] |
[a1,a2,a3,a4,a6] |
Generators |
[777:98:27] |
Generators of the group modulo torsion |
j |
3796416/469 |
j-invariant |
L |
14.045816773679 |
L(r)(E,1)/r! |
Ω |
0.9580099128458 |
Real period |
R |
3.6653631054102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105056d1 15008c1 |
Quadratic twists by: -4 -7 |